20442617395200 has 6912 divisors, whose sum is σ = 108920028672000. Its totient is φ = 3643696742400.

The previous prime is 20442617395199. The next prime is 20442617395201. The reversal of 20442617395200 is 259371624402.

20442617395200 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 2 + 617 + 3 + 9 + 5 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20442617395199) and next prime (20442617395201).

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20442617395201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 258767308761 + ... + 258767308839.

It is an arithmetic number, because the mean of its divisors is an integer number (15758106000).

Almost surely, 2^{20442617395200} is an apocalyptic number.

20442617395200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20442617395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54460014336000).

20442617395200 is an abundant number, since it is smaller than the sum of its proper divisors (88477411276800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20442617395200 is a wasteful number, since it uses less digits than its factorization.

20442617395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 20442617395200 in words is "twenty trillion, four hundred forty-two billion, six hundred seventeen million, three hundred ninety-five thousand, two hundred".